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Finding the Fourth Proportional to 17,671.41, 24,386.60 and 10,117.85

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Solution

The fourth proportional to 17,671.41, 24,386.60 and 10,117.85 is: 13,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.41 : 24,386.60 = 10,117.85 : x
  2. Step 2: Convert to fraction form
    17,671.41/24,386.60 = 10,117.85/x
  3. Step 3: Cross multiply
    17,671.41x = 24,386.60 × 10,117.85
  4. Step 4: Simplify right side
    17,671.41x = 246,739,971.19
  5. Step 5: Solve for x
    x = 246,739,971.19/17,671.41
  6. Step 6: Final answer
    x = 13,962.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.